{
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "# Three little quadratic functions"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 2,
      "metadata": {
        "collapsed": false
      },
      "outputs": [],
      "source": [
        "%matplotlib qt"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 1,
      "metadata": {
        "collapsed": false
      },
      "outputs": [],
      "source": [
        "import numpy as np\n",
        "import matplotlib.pyplot as pt"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Consider the three equations:\n",
        "\n",
        "$$y=x^2+\\delta$$\n",
        "$$z=x^2-\\delta$$\n",
        "$$y=z^2+\\delta$$"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 2,
      "metadata": {
        "collapsed": false
      },
      "outputs": [],
      "source": [
        "delta = 0.5"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 5,
      "metadata": {
        "collapsed": false
      },
      "outputs": [
        {
          "data": {
            "image/png": 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CmwDcaO/o7UBAW53azD/3fbdnz552cQXLN/Y70jX1m7Ztp5GO6aQqKiqioKCA4uLiViWL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\nMtOkk6YxUAh+jZwkEc4QyypkRPx5SgoLkpM5qmmM/+EPmTh5MjMnTQq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y2E2RfqgbxuFw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QTzldizZw85OTleq0vDMNi/fz8/+tGPqKqqYvTo0fTv35+DBw8yffp0pk6d6vWbSKDdI6HTTUDi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\nYII=\n",
            "text/plain": [
              "<matplotlib.figure.Figure at 0x7f37c6672f28>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "\n",
        "from mpl_toolkits.mplot3d import Axes3D\n",
        "fig = pt.figure()\n",
        "ax = fig.add_subplot(111, projection='3d')\n",
        "\n",
        "res = 10j\n",
        "\n",
        "x, z = np.mgrid[-3:3:res,-3:3:res]\n",
        "y = x**2 + delta\n",
        "\n",
        "ax.plot_surface(x, y, z, color=\"red\", cstride=1, rstride=1)\n",
        "\n",
        "if 1:\n",
        "    y, x = np.mgrid[-3:3:res,-3:3:res]\n",
        "    z = x**2 - delta\n",
        "    \n",
        "    ax.plot_surface(x, y, z, color=\"green\", cstride=1, rstride=1)\n",
        "\n",
        "if 0:\n",
        "    x, z = np.mgrid[-3:3:res,-3:3:res]\n",
        "    y = z**2 + delta\n",
        "    \n",
        "    ax.plot_surface(x, y, z, color=\"blue\", cstride=1, rstride=1)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Need better plotting tool. See corresponding `three-quadratics.py`."
      ]
    }
  ],
  "metadata": {},
  "nbformat": 4,
  "nbformat_minor": 0
}